J. Korean Math. Soc. 2007; 44(5): 1065-1078
Printed September 1, 2007
Copyright © The Korean Mathematical Society.
Yonggeun Cho and Tohru Ozawa
Pohang University of Science and Technology, Hokkaido University
We consider initial value problems for the semirelativistic Hartree type equations with cubic convolution nonlinearity $F(u) =(V * |u|^2)u$. Here $V$ is a sum of two Coulomb type potentials. Under a specified decay condition and a symmetric condition for the potential $V$ we show the global existence and scattering of solutions.
Keywords: semirelativistic Hartree type equations, global existence, scattering, Coulomb type potentials
MSC numbers: 35Q40, 35Q55, 47J35
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